(a) converges; consider the function <em>f(x)</em> = <em>a</em> ˣ, which converges to 0 as <em>x</em> gets large for |<em>a</em> | < 1. Then the limit is 2.
(b) converges; we have
4ⁿ / (1 + 9ⁿ) = (4ⁿ/9ⁿ) / (1/9ⁿ + 9ⁿ/9ⁿ) = (4/9)ⁿ × 1/(1/9ⁿ + 1)
As <em>n</em> gets large, the exponential terms vanish; both (4/9)ⁿ → 0 and 1/9ⁿ → 0, so the limit is 1.
(c) converges; we know ln(<em>n</em> ) → ∞ and arctan(<em>n</em> ) → <em>π</em>/2 as <em>n</em> → ∞. So the limit is <em>π</em>/2.
Answer:
x=-125/24
Step-by-step explanation:
(6x+10)+(-10-30x)=(30x+135)+(-10-30x)
(6x+10)+(-30x-10)=(30x+135)+(-30x-10)
6x+10-30x-10=30x+135-30x-10
6x-30x+10-10=30x-30x+135-10
-24x=125
24x/24=-125/24
x=-125/24
8 is:
a)2x+3
b)7x^2
c)3x^2+2x+1
d)x^2+2x+7
e)x^2+2x+3
f)7x^2+2x+1
g)3x
h)x^2+3x
9 is:
a)5x
b)4x+9
c)4x+2
d)4x-2
Answer:
3.844 x 10^5
3.844E-5
3.844 × 10-5 kilometers
Step-by-step explanation:
Answer:
<h2>0 </h2>
Step-by-step explanation:
